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    Question

    A train started from station P and preceded towards

    station Q at a speed of 64 km/h. 45 minutes later, another train started from station Q and preceded towards station P at 100 km/h. If the distance between the two stations is 376 km, at what distance from station P will the trains meet?
    A 176 km Correct Answer Incorrect Answer
    B 270 km Correct Answer Incorrect Answer
    C 243 km Correct Answer Incorrect Answer
    D 275 km Correct Answer Incorrect Answer

    Solution

    Let the train will meet ‘t’ hours after the train from station Q started Distance travelled by train started from station P = 64 x 45/60 km Distance travelled by train started from station Q = (64 + 100) x t km Total distance between station P and Q = 376 km Now, 64 x (45/60) + (64 + 100) x t = 376 ⇒ 48 + 164t = 376 ⇒ 164t = 376 – 48 = 328 ⇒ t = 328/164 = 2 hours Distance travelled by train starting from station P at all meeting point = 48 + 64 x 2 = 176 km

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